How do you simplify and find the excluded value of #(3z^2 + z) /( 18z + 6 )#?

1 Answer
May 4, 2018

Answer:

#"see explanation"#

Explanation:

#"the excluded values are any values of z that make the"#
#"denominator equal zero as this would make the rational"#
#"function undefined. Equating the denominator to zero"#
#"and solving gives the value that z cannot be"#

#"solve "18z+6=0rArr18z=-6rArrz=-6/18=-1/3#

#rArrz=-1/3larrcolor(red)"is the excluded value"#

#"To simplify factor numerator/denominator and cancel"#
#"any common factors"#

#rArr(zcancel((3z+1)))/(6cancel((3z+1)))=z/6#